As an alternative to loading the whole file into memory, you could do each line in turn
new File( 'destination.txt' ).withWriter { w ->
new File( 'source.txt' ).eachLine { line ->
w << line.replaceAll( 'World', 'World!!!' ) + System.getProperty("line.separator")
}
}
Of course this (and dmahapatro’s answer) rely on the words you are replacing not spanning across lines